ANTI-INVARIANT ? -RIEMANNIAN SUBMERSIONS FROM ALMOST CONTACT MANIFOLDS

Abstract

We introduce anti-invariant ??-Riemannian submersions from almostcontact manifolds onto Riemannian manifolds. We give an example,investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and check the harmonicity of suchsubmersions. We also find necessary and sufficient conditions for a special anti-invariant ??-Riemannian submersion to be totally geodesic.Moreover, we obtain decomposition theorems for the total manifold ofsuch submersions.